A note on the third cuboid conjecture. Part I
Number Theory
2012-03-13 v1
Abstract
The problem of finding perfect Euler cuboids or proving their non-existence is an old unsolved problem in mathematics. The third cuboid conjecture is the last of the three propositions suggested as intermediate stages in proving the non-existence of perfect Euler cuboids. It is associated with a certain Diophantine equation of the order 12. In this paper a structural theorem for the solutions of this Diophantine equation is proved.
Cite
@article{arxiv.1203.2567,
title = {A note on the third cuboid conjecture. Part I},
author = {Ruslan Sharipov},
journal= {arXiv preprint arXiv:1203.2567},
year = {2012}
}
Comments
AmSTeX, 34 pages, amsppt style